Determine the equation of the line perpendicular to the line 4x+2y-7=0 that has the same x-intercept as the line 2x+3y-12=0

Answers

Answer 1
Let’s first make a blank equation in slope-intercept form: y=mx+b

To find the slope, we find the perpendicular slope to 4x+2y-7=0. First, change this to slope-intercept form:

4x+2y=7
2y=7-4x
y=-2x+(7/2)

The slope of this line is -2, so the perpendicular slope will be the opposite inverse, or 1/2. This is the first component.

Second, to find the x-intercept of 2x+3y-12=0, we have to set y=0 and solve:

2x+3(0)=12
2x=12
x=6 or (6,0)

So in total, we need a line with a slope of 1/2 passing through (6,0). Plug this back into y=mx+b:

0=1/2(6)+b
0=3+b
b=-3

So in total, the equation is y=(1/2)x-3.

Related Questions

PLEASE HELP

FIND THE LENGTH OF RS.

Answers

Answer:

A

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

[tex] = \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)[/tex]

Thus, RS is about 8.5 units.

Answer:

I believe its A. 8.5

Step-by-step explanation:

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.

What is the mean of the sampling distribution of ˆ p A − ˆ p B ?

Answers

Answer:

0.02

Step-by-step explanation:

High schools A :

Percentage of participants in on the school athletic team = 20%

Pa = 20% = 0.2

High school B:

Percentage of participants in on the school athletic team = 18%

Pa = 18% = 0.18

The mean of sampling distributon is :

Pa - Pb

0.2 - 0.18

Hence, Mean of sampling distribution is 0.02

Solve |5x+15|=10x. Identify the solution and an extraneous solution.

Answers

|5x+15|=10x

5x+15=10x 5x+15=-10x
-5x -5x -5x -5x
15=5x 15=-15x
divide by 5 divide by -15
3=x -1=x

Choose a method that can be used to solve this system of equations by elimination.

2x - 2y = 24
4x + 7y = -40

1. Subtract 2x from both equations and solve the first equation for y.

2. Multiply the first equation by -2 and add the second equation.

3. Add the first equation to the second equation and subtract 6x from both sides of the equation.

4. Subtract 7y from the second equation and add the first equation.

Which one of these steps is the correct way of solving by elimination?

Answers

Answer:

2

Step-by-step explanation:

if we multiply the first equation by neg 2, the 4x's cancel out.

The method that should be selected is

2. Multiply the first equation by -2 and add the second equation.

Elimination method:

In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.

Learn more about an equation here: https://brainly.com/question/17599700

Find the missing sides using special right triangles

Answers

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

at her job Jessie earns 9.75 an hour. she also earns a bonus of 80 dollars every month.
Jessie needs to earn at least 500 dollars a month. create an inequality that represents this situation, where h represents the number of hours that Jessie works in a month in order to earn at least 500 dollars

Answers

Answer:

9.75h + 80 ≥ 500

Step-by-step explanation:

Hi! If we look at the problem, it says that "Jessie earns 9.75 an hour." If it is asking you to use h as the hour, it results to 9.75h. Next, she gets a bonus of 80 dollars every month. 9.75h + 80. Lastly, it says she "needs to earn at least 500 dollars". at least is a fancy way of saying greater than or equal to '≥'.

Hope this helps!

the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.

Answers

860(1-(8)/(100))^(19) solve that

Someone help me on this math problem please!!

Answers

Answer: Jasmine hikes at a rate 0.5 miles per hour faster than Deandre (the third option).

Step-by-step explanation: Deandre hikes at a rate of 2.5 miles per hour, since the slope in the equation is 2.5. For Jasmin, the slope on the graph is 3 (since it goes up 3, over 1), which means she hikes at a rate of 3 miles per hour. 3 is 0.5 greater than 2.5, so Jasmin hikes at a rate that is 0.5 miles per hour faster than Deandre.

**On the graph, the blue line is Jasmin and the red line is Deandre.

Answer the following questions

Answers

Answer:

1. 432

2. 30

3. 1875

4. 250

Step-by-step explanation:

Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Answers

Answer: The required scale factor[tex]=\dfrac43[/tex]

Step-by-step explanation:

Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]

[tex]=\dfrac{4}{3}[/tex]

hence, the required scale factor[tex]=\dfrac43[/tex]

44 is 25% of what
pls help they gave me these without teaching them

Answers

Answer:

176

Step-by-step explanation:

In order to find these kinds of problems, you need to divide the given number by the percentage in its decimal form.

25% = 0.25

44/0.25 = 176

To check your work, simply take the answer and multiply it with the percentage.

176*0.25 = 44

What is the solution to the system of linear equations graphed below?

Answers

Answer:

Step-by-step explanation:

the last answer D

HELP ME because it is hard

Answers

60 because 15x8 is 120 and the total degrees of a triangle is 180. 180-120 is 60.

if w varies jointly as x and y,
and w=10 when x=2 and y=1.
Solve for w when x=4 and y=2​

Answers

Given:

w varies jointly as x and y.

w=10 when x=2 and y=1.

To find:

The value of w when x=4 and y=2​.

Solution:

w varies jointly as x and y.

[tex]w\propto xy[/tex]

[tex]w=kxy[/tex]              ...(i)

Where, k is the constant of proportionality.

w=10 when x=2 and y=1.

[tex]10=k(2)(1)[/tex]

[tex]10=2k[/tex]

[tex]\dfrac{10}{2}=k[/tex]

[tex]5=k[/tex]

The value of k is 5.

Putting k=5 in (i), we get

[tex]w=5xy[/tex]

To find the value of w when x=4 and y=2​. Put x=4 and y=2.

[tex]w=5(4)(2)[/tex]

[tex]w=40[/tex]

Therefore, the value of w is 40 when x=4 and y=2​.

KEVI is an isosceles trapezoid.

If KN 10, NV = x, and IE = 2x+6,

what is the length of KV?

Answers

Answer:

14

Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.

An isosceles trapezoid is a trapezoid with equal legs. The diagonals are also equal and both the upper and lower base angles are congruent.

From the question:

KV = IE = 2x + 6 (diagonals of a trapezoid are congruent)

From line segment addition postulate:

KV = KN + NV

substituting:

2x + 6 = 10 + x

2x + 6 - x = 10

x + 6 = 10

x = 10 - 6

x = 4

KV = 2x + 6

substituting x = 4:

KV = 2(4) + 6

KV = 14

Solve the inequality
- 7x<35
What are the solutions? Select the correct choice below and fill in the answer box to complete your
choice.
A. X > greater or equal to
B. X <
C. X < less than or equal to
D. X >

Answers

Answer:

X>-5

Step-by-step explanation:

Over what interval is f(x) negative? Justify your answer.

Answers

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

=====================================================

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Which of the following phrases best summarizes Chapter 13 bankruptcy? a. discharge debt and keep property b. discharge debt and liquidate assets c. reorganize debt and keep property d. reorganize debt and liquidate assets

Answers

Answer:

c on edge

Step-by-step explanation:

The option that best summarizes bankruptcy is; C: reorganize debt and keep property

What is bankruptcy?

Bankruptcy is simply defined as a legal proceeding involving a person or business that is unable to repay their outstanding debts.

Now, this question is taken from chapter 13 of the US Courts policy on filing bankruptcy. The chapter 13 of the Bankruptcy Code is one that provides for adjustment of debts of an individual with regular income and this allows a debtor to keep property and pay debts over time, usually three to five years.

Thus, option C is the correct option.

Read more about bankruptcy at; https://brainly.com/question/4418659

X-y=0 and 5x-2y=6 solve by elimination

Answers

Answer:

(2,2)

Step-by-step explanation:

first take x-y=0 and multiply it by -5 you will then get this

-5x+5y=0

5x-2y=6

add those together

3y=6

divide by 3

y=2

now plug 2 in for y

x-2=0

add 2 to both sides

x=2

BRAINLIEST FOR THE CORRECT AWNSER! Algebra 1 What is the solution to the system of equations graphed below?

Answers

Answer:

(-2, 3)

Step-by-step explanation:

The solution to a system of equations is the value (or values) of x and y that satisfy both equations. we can find the value of x by setting the right sides of each of our equations equal to each other and solving:

[tex]4x+11=-2x-1\\6x=-12\\x=-2[/tex]

From here, we can simply substitute -2 for x in either of the equations to calculate y. I'll choose the bottom one:

[tex]y=-2(-2)-1\\y=4-1\\y=3[/tex]

So our solution is (-2, 3).

The awnser is A!! Because the graph describes as so.

How do you solve this?

-1 1/2+ 2 1/8

Answers

You have to find common denominators for 1/2 and 1/8. Since both denominations have 8 in common, multiply 2 by 4 and get 8. Multiply 1 by 4 and get 4. 4/8. 1 4/8 plus 2 1/8 is 3 5/8. Hope this helped.

27 is what percent of 1875

Answers

Answer:

506.25

Step-by-step explanation:

27% is writen as 27/100

27/100 of 1875 = 27/100 x 1875

therefore, 506.25 is the answer.

If you are using a calculator, simply enter 27÷100×1875 which will give you 506.25 as the answer.

Answer:

506.25

Step-by-step explanation:

d0: 27÷100×1875

[im s0rry if this is wr0ng i tried l0l]

Help me! I need help finishing this before it’s due!

Answers

Answer:

I think F is the right answer

Mateo started with more

than 100 boxes of cookies to

sell He sold 25 boxes. After

selling 25 boxes, how many

more boxes can he sell to

sell them all?

Answers

Answer:

y > 75

Step-by-step explanation:

Given that:

Starting number of boxes = > 100

Number of boxes sold = 25

Number of boxes left after selling 25

Let the number of boxes left = y

y = starting number of boxes - Numbe rof boxes sold

y = 100 - 25

y = 75

Since the starting number of boxes is more than 100

Then, y should also be more than 75

y > 75

PLEASE HELPPPP QUICK 100 POINTS ASAP PLEASEE
Graph a line representing the proportional relationship with slope 3 containing the point (2,6)

Answers

Answer:

i think you had it on the point

Step-by-step explanation:

HELP ME PLEASEEEE
HELPPPPPPPPPPPP

Answers

Answer:

y / cos x

Step-by-step explanation:

Use trigonometry to help

cos = adjacent side/hypotenusehypotenuse = adjacent side / cos

Substitute values:

Distance between the Sun and the Moon = y / cos x

Solve for the variable. (g + 6)/3 = 11

Answers

Question:-

solve the variable:-[tex]\sf{\dfrac{(g+6)}{3}=11   }[/tex] 

Answer:

[tex]\green{\boxed{g=27   }}[/tex]      

Explanation:

:[tex]\longrightarrow \bold{\dfrac{(g+6)}{3}=11   }[/tex] 

:[tex]\longrightarrow \bold{ g+6=11\times 3  }[/tex]

:[tex]\longrightarrow \bold{g+6=33   }[/tex] 

:[tex]\longrightarrow \bold{ g=33-6  }[/tex] 

:[tex]\dashrightarrow\bold{g=27   }[/tex]

The quotient of s and 5

Answers

Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

Answer:

s/5

Step-by-step explanation:

its s/5 because the letter is always on top and yea..

4. Hakim buys n kg of rice. Vanu buys 2 kg more rice than Hakim. Kevin buys
one-fifth of the amount of rice that Vanu buys.
(a) Find the total amount of rice that Hakim and Kevin buy altogether.

Answers

Rice bought by
Hakim : n kg
Vanu : n+2 kg
Kevin : 1/5(n+2) kg

Hakim + Kevin : n + 1/5(n+2)
= n + (n+2)/5
= n/5n + n^2+2n/5n
= n+n^2+2n/5n
= 3n + n^2/5n
= 3+n/5
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